{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,6]],"date-time":"2026-05-06T16:34:50Z","timestamp":1778085290187,"version":"3.51.4"},"reference-count":24,"publisher":"SAGE Publications","issue":"4","license":[{"start":{"date-parts":[[2018,2,28]],"date-time":"2018-02-28T00:00:00Z","timestamp":1519776000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"published-print":{"date-parts":[[2018,4,19]]},"abstract":"<jats:p>In this paper, we define aggregation operators for triangular cubic linguistic hesitant fuzzy sets which includes generalized triangular cubic linguistic hesitant fuzzy weighted averaging (GTCLHFWA) operator, generalized triangular cubic linguistic hesitant fuzzy weighted geometric (GTCHFWG) operator, generalized triangular cubic linguistic hesitant fuzzy ordered weighted average (GTCLHFOWA) operator, generalized triangular cubic linguistic hesitant fuzzy ordered weighted geometric (GTCLHFOWG) operator, generalized triangular cubic linguistic hesitant fuzzy hybrid averaging (GTCLHFHA) operator and generalized triangular cubic linguistic hesitant fuzzy hybrid geometric (GTCLHFHG) operator. Furthermore, we relate these aggregation operators to develop an approach to multiple attribute group decision-making with triangular cubic linguistic hesitant fuzzy information. Finally, a numerical example is providing to demonstrate the submission of the established approach.<\/jats:p>","DOI":"10.3233\/jifs-171567","type":"journal-article","created":{"date-parts":[[2018,2,27]],"date-time":"2018-02-27T12:38:41Z","timestamp":1519735121000},"page":"2401-2416","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":74,"title":["Triangular cubic linguistic hesitant fuzzy aggregation operators and their application in group decision making"],"prefix":"10.1177","volume":"34","author":[{"given":"Fazli","family":"Amin","sequence":"first","affiliation":[{"name":"Department of Mathematics, Hazara University Mansehra, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Aliya","family":"Fahmi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Hazara University Mansehra, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Saleem","family":"Abdullah","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Abdul Wali Khan University,, Mardan, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Asad","family":"Ali","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Hazara University Mansehra, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rehan","family":"Ahmad","sequence":"additional","affiliation":[{"name":"Department of Meteorlogy, Comsats Institute of Information Technology, Islamabad, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fazal","family":"Ghani","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Abdul Wali Khan University,, Mardan, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2018,2,28]]},"reference":[{"key":"e_1_3_1_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(86)80034-3"},{"key":"e_1_3_1_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.inffus.2014.11.003"},{"key":"e_1_3_1_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.knosys.2012.09.009"},{"key":"e_1_3_1_5_2","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2013.2239650"},{"key":"e_1_3_1_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2014.11.011"},{"key":"e_1_3_1_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.knosys.2016.05.046"},{"key":"e_1_3_1_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2016.06.003"},{"key":"e_1_3_1_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2017.02.052"},{"key":"e_1_3_1_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.omega.2017.02.008"},{"issue":"1","key":"e_1_3_1_11_2","first-page":"83","article-title":"Cubic sets","volume":"4","author":"Jun Y.B.","year":"2011","unstructured":"JunY.B., KimC.S. and YangK.O., Cubic sets, Annals of Fuzzy Mathematics and Informatics 4(1) (2011), 83\u201398.","journal-title":"Annals of Fuzzy Mathematics and Informatics"},{"key":"e_1_3_1_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.inffus.2016.04.005"},{"key":"e_1_3_1_13_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10700-016-9254-8"},{"issue":"6","key":"e_1_3_1_14_2","first-page":"529","article-title":"Hesitant fuzzy sets","volume":"25","author":"Torra V.","year":"2010","unstructured":"TorraV., Hesitant fuzzy sets, International Journal of Intelligent Systems 25(6) (2010), 529\u2013539.","journal-title":"International Journal of Intelligent Systems"},{"key":"e_1_3_1_15_2","first-page":"1378","volume-title":"Fuzzy Systems, 2009. FUZZ-IEEE 2009","author":"Torra V.","unstructured":"TorraV. and NarukawaY., On hesitant fuzzy sets and decision. In Fuzzy Systems, 2009. FUZZ-IEEE 2009, IEEE International Conference on (pp. 1378\u20131382). IEEE."},{"key":"e_1_3_1_16_2","doi-asserted-by":"publisher","DOI":"10.12733\/jics20102025"},{"key":"e_1_3_1_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/0020-0255(75)90036-5"},{"key":"e_1_3_1_18_2","doi-asserted-by":"crossref","unstructured":"ZadehL.A. Fuzzy sets inform (Control) 8 (1965) 338\u2013353.","DOI":"10.1016\/S0019-9958(65)90241-X"},{"key":"e_1_3_1_19_2","article-title":"The 2-rank consensus reaching model in the multigranular linguistic multiple-attribute group decision-making","author":"Zhang H.","unstructured":"ZhangH., DongY. and ChenX., The 2-rank consensus reaching model in the multigranular linguistic multiple-attribute group decision-making, IEEE Transactions on Systems, Man and Cybernetics: Systems, in press. doi: 10.1109\/TSMC.2017.2694429","journal-title":"IEEE Transactions on Systems, Man and Cybernetics: Systems"},{"key":"e_1_3_1_20_2","article-title":"Consensus building for the heterogeneous large-scale GDM with the individual concerns and satisfactions","author":"Zhang H.","unstructured":"ZhangH., DongY. and Herrera-ViedmaE., Consensus building for the heterogeneous large-scale GDM with the individual concerns and satisfactions, IEEE Transactions on Fuzzy Systems, in press. doi: 10.1109\/TFUZZ.2017.2697403","journal-title":"IEEE Transactions on Fuzzy Systems"},{"key":"e_1_3_1_21_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.knosys.2016.12.001"},{"key":"e_1_3_1_22_2","article-title":"Group multi-criteria supplier selection using an extended VIKOR method with interval 2-tuple linguistic information","author":"You X.Y.","year":"2014","unstructured":"YouX.Y., YouJ.X., LiuH.C. and ZhenL., Group multi-criteria supplier selection using an extended VIKOR method with interval 2-tuple linguistic information, Expert Systems with Applications (2014), In press. doi: 10.1016\/j.eswa.2014.10.004","journal-title":"Expert Systems with Applications"},{"key":"e_1_3_1_23_2","article-title":"An integrated green supplier selection approach with analytic network process and improved Grey relational analysis,in press","author":"Hashemi S.H.","year":"2014","unstructured":"HashemiS.H., KarimiA. and TavanaM., An integrated green supplier selection approach with analytic network process and improved Grey relational analysis,in press, International Journal of Production Economics (2014), in press. doi: 10.1016\/j.ijpe.2014.09.027","journal-title":"International Journal of Production Economics"},{"key":"e_1_3_1_24_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2008.04.014"},{"key":"e_1_3_1_25_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2011.08.094"}],"container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/JIFS-171567","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.3233\/JIFS-171567","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/JIFS-171567","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T09:38:47Z","timestamp":1777455527000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/JIFS-171567"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,2,28]]},"references-count":24,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2018,4,19]]}},"alternative-id":["10.3233\/JIFS-171567"],"URL":"https:\/\/doi.org\/10.3233\/jifs-171567","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,2,28]]}}}